Noise can induce explosions for dissipative solitons

被引：54

作者：

Cartes, Carlos ^{[1
]}

Descalzi, Orazio ^{[1
,2
]}

Brand, Helmut R. ^{[2
]}

机构：

[1] Univ Los Andes, Complex Syst Grp, Fac Ingn & Ciencias Aplicadas, Santiago, Chile

[2] Univ Bayreuth, Dept Phys, D-95440 Bayreuth, Germany

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 01期

关键词：

EXTERNAL NOISE; PULSES;

D O I：

10.1103/PhysRevE.85.015205

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the influence of noise on the spatially localized, temporally regular states (stationary, one frequency, two frequencies) in the regime of anomalous dispersion for the cubic-quintic complex Ginzburg-Landau equation as a function of the bifurcation parameter. We find that noise of a fairly small strength eta is sufficient to reach a chaotic state with exploding dissipative solitons. That means that noise can induce explosions over a fairly large range of values of the bifurcation parameter mu. Three different routes to chaos with exploding dissipative solitons are found as a function of mu. As diagnostic tools we use the separation to characterize chaotic behavior and the energy to detect spatially localized explosive behavior as a function of time.

引用

页数：4

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